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Finding the Fourth Proportional to 117,894.27, 176,843.24 and 65,635.91

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Solution

The fourth proportional to 117,894.27, 176,843.24 and 65,635.91 is: 98,454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,894.27 : 176,843.24 = 65,635.91 : x
  2. Step 2: Convert to fraction form
    117,894.27/176,843.24 = 65,635.91/x
  3. Step 3: Cross multiply
    117,894.27x = 176,843.24 × 65,635.91
  4. Step 4: Simplify right side
    117,894.27x = 11,607,266,984.75
  5. Step 5: Solve for x
    x = 11,607,266,984.75/117,894.27
  6. Step 6: Final answer
    x = 98,454.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.